Home
Class 12
MATHS
Let vec u , vec va n d vec w be such th...

Let ` vec u , vec va n d vec w` be such that `| vec u|=1,| vec v|=2a n d| vec w|=3.` If the projection of ` vec v` along ` vec u` is equal to that of ` vec w` along ` vec u` and vectors ` vec va n d vec w` are perpendicular to each other, then `| vec u- vec v+ vec w|` equals a `2` b. `sqrt(7)` c. `sqrt(14)` d. `14`

A

`sqrt(14)`

B

`sqrt(7)`

C

`2`

D

`14`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise JEE Type Solved Examples: Passage Based Type Questions|3 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise JEE Type Solved Examples: Match Type Questions|4 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

If |quad vec a+ vec b|=|quad vec a- vec b| , prove that vec a and vec b are perpendicular.

If vec a and vec b are two vectors such that |quad vec a + vec b|= |quad vec a| , then prove that 2 vec a+ vec b is perpendicular to the vector vec b .

If vec aa n d vec b are two vectors such that | vec axx vec b|=2, then find the value of [ vec a vec b vec axx vec b]dot

Let the vectors vec and vec b be such that |vec a|= 3 and |vec b|= sqrt2/3 , then vec a xx vec b is a unit vector if the angle between vec a and vec b is

Let the vectors vec a and vec b be such that | vec a|=3 and | vec b|=(sqrt(2))/3, then ,vec axx vec b is a unit vector, if the angel between vec a and vec b is?

If vec a , vec b , vec c are mutually perpendicular unit vectors , then find the value of |quad 2 vec a+ vec b+ vec c| .

Let vec ua n d vec v be unit vectors such that vec uxx vec v+ vec u= vec w and vec wxx vec u= vec vdot Find the value of [ vec u vec v vec w]dot

If vec a and vec b are two vectors such that |quad vec a|=2 , |quad vec b|=1 and vec a. vec b=1 , then find the value of (3 vec a - 5 vec b).(2 vec a+7 vec b) .

If vec a, vec b, vec c are three vectors such that |quad vec a|=5,| , quad vec b|=12 and |quad vec c|=13 and if vec a+ vec b+ vec c= 0 , find the value of vec a* vec b + vec b* vec c + vec c* vec a .

Let vec a , vec b and vec c be unit vectors such that vec a+ vec b- vec c=0. If the area of triangle formed by vectors vec a and vec b is A , then what is the value of 4A^2?

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

    Text Solution

    |

  2. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

    Text Solution

    |

  3. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

    Text Solution

    |

  4. Let O be the origin, and O X , O Y , O Z be three unit vectors ...

    Text Solution

    |

  5. Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...

    Text Solution

    |

  6. Let vec a , vec b and vec c be three non-zero vectors such that no ...

    Text Solution

    |

  7. If vec a , vec ba n d vec c are unit vectors satisfying | vec a- v...

    Text Solution

    |

  8. The vector(s) which is/are coplanar with vectors hat i+ hat j+2 hat...

    Text Solution

    |

  9. Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...

    Text Solution

    |

  10. Two adjacent sides of a parallelogram A B C D are given by vec A B=...

    Text Solution

    |

  11. Let P,Q R and S be the points on the plane with position vectors -2hat...

    Text Solution

    |

  12. If aa n db are vectors in space given by vec a=( hat i-2 hat j)/(sq...

    Text Solution

    |

  13. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...

    Text Solution

    |

  14. The edges of a parallelopiped are of unit length and are parallel to ...

    Text Solution

    |

  15. Let two non-collinear unit vectors veca and vecb form an acute angle. ...

    Text Solution

    |

  16. Let the vectors PQ,OR,RS,ST,TU and UP represent the sides of a regular...

    Text Solution

    |

  17. The number of distinct real values of lambda , for which the vectors...

    Text Solution

    |

  18. If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, find...

    Text Solution

    |

  19. Let A be vector parallel to line of intersection of planes P1 and P2. ...

    Text Solution

    |

  20. Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...

    Text Solution

    |

  21. Find the 7th term of GP if the first term is 7 and common ratio is 2.

    Text Solution

    |